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Frage 22

A puzzle claims that a triangle can be drawn with two right angles inside it. Which statement about this claim is correct?

  1. The claim fails: two right angles alone use the entire 180 degree total.Richtige Antwort
  2. The claim holds, and such a shape is simply a right-angled triangle.
  3. The claim holds whenever the triangle is also isosceles.
  4. The claim holds, because the angles of a triangle add to 360 degrees.

Erklärung

Two right angles come to 180 degrees between them, and a triangle has only 180 degrees to share among three angles, so the third angle would have to vanish and no such triangle can exist. Naming the shape after its right angle answers a classification question that never arises, because that name belongs to a triangle holding exactly one right angle.

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